• 대한기계학회논문집A
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• 제30권10호
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• pp.1227-1234
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• 2006

Up to now, several mathematical theories based on strain energy functions have been developed for rubber materials. These theories, coupled with the finite element method, can be used very effectively by engineers to analyze and design rubber components. However, due to the complexities of the mathematical formulations and the lack of general guidelines available fur the analysis of rubber components, it is a formidable task for an engineer to analyze rubber components. In this paper a method for predicting strain energy functions - Neo-Hookean model and Mooney-Rivlin model - from the hardness using the empirical equation without any experiment is discussed. First based on the elasticity theories of rubber, the relation between stress and strain is defined. Then for the butyl rubbers, the model constants of Neo-Hookean model and Mooney-Rivlin model are calculated from uniaxial tension tests. From the results, the usefulness of the empirical equation to estimate elastic modulus from hardness is confirmed and, fur Mooney-Rivlin model, the predicted and the experimental model constants are compared and discussed.

• 대한기계학회논문집A
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• 제33권11호
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• pp.1249-1255
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• 2009

Cord-rubber composites widely used in tires show very complicated mechanical behavior such as nonlinearity and large deformation. Three-phase(cord, rubber and the interface) modeling has been used to analyze the stress distribution in the cord-rubber composites more accurately. In this study, finite element methods were performed using two-dimensional generalized plane strain element and plane strain element to investigate the stress distribution and effective modulus of cord-rubber composites. Neo Hookean model was used for rubber property and several interface properties were assumed for various loading directions. It was found that the interface properties affect the effective modulus and the distributions of shear stress.

• 대한기계학회논문집A
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• 제35권6호
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• pp.619-628
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• 2011

인체의 근육, 힘줄, 피부와 혈관 등은 일상생활 속에서 다양한 손상을 입는 경우가 많으므로 관심을 갖고 연구해야할 주제이다. 인체의 윤상인대의 역학적 특성을 얻기 위해서는 부족한 실험 자료를 감안하고서도 대변형뿐만 아니라 이방성 및 압축성까지 고려해야 하는 어려움이 있다. 본 연구에서는 섬유강화재료 모델을 사용하여 초탄성 재료 모델을 사용하고, 모재, 섬유 및 모재와 섬유와의 상관관계를 포함하는 에너지 함수를 도입하여 실험값과 비교하여 보았다. 윤상인대의 내부에서 2종류의 섬유는 일정한 각도를 갖고 있다고 가정하였다. 섬유강화재료 모델을 사용함에 있어서 모재에 대한 두 종류의 다른 에너지 함수를 대입하여 Neo-Hookean 재료를 사용하여 계산한 결과 및 기존에 알려진 실험결과와 비교하였으며 본 연구에서 제시된 모재에 관한 에너지 함수의 타당성을 보였다.

• 대한기계학회논문집A
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• 제34권5호
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• pp.583-588
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• 2010

고무의 비선형성과 대변형으로 인해 코드-고무 복합재료의 정확한 거동을 파악하기는 어렵다. 코드와 고무 사이에 제 3 의 상을 가정해서 세 가지 상에 대한 모델링을 하기도 하지만 코드-고무 복합재료 계면의 두께와 물성을 결정하기 힘들다. 본 연구에서는 2 차원 일반화된 평면변형률요소와 평면변형률요소를 사용한 유한요소법을 적용하여 여러 가지 계면 두께를 갖는 코드-고무 복합재료의 유효탄성계수와 무차원 탄성계수를 구하였다. 고무물성은 네오-후크 모델을 적용하였고 여러 가지 하중상태와 몇 가지 계면 물성치에 대한 고찰을 하였다. 그 결과 계면 물성치와 계면 두께는 코드-고무 복합재료의 비선형성과 유효탄성계수에 영향을 미침을 알수 있었다.

• Elastomers and Composites
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• 제56권2호
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• pp.79-84
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• 2021

A strain energy density function is used to characterize the hyperelasticity of rubber-like materials. Conventional models, such as the Neo-Hookean, Mooney-Rivlin, and Ogden models, are widely used in automotive industries, in which the strain potential is derived from strain invariants or principal stretch ratios. A fitting procedure for experimental data is required to determine material constants for each model. However, due to the complexities of the mathematical expression, these models can only produce an accurate curve fitting in a specified strain range of the material. In this study, a hyperelastic model for Neodymium Butadiene rubber is developed by using the Artificial Neural Network. Comparing the analytical results to those obtained by conventional models revealed that the proposed model shows better agreement for both uniaxial and equibiaxial test data of the rubber.

• Elastomers and Composites
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• 제51권4호
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• pp.308-316
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• 2016

The rubber materials are widely used in automobile industry due to their capability of a large amount of elastic deformation under a force. Current trend of design process requires prediction of functional properties of parts at early stage. The behavior of rubber material can be modeled using strain energy density function. In this study, five different strain energy density functions - Neo-Hookean model, Reduced Polynomial $2^{nd}$ model, Ogden $3^{rd}$ model, Arruda Boyce model and Van der Waals model - were used to estimate the behavior of carbon black added natural rubber under uniaxial load. Two kinds of tests - uniaxial tension test and biaxial tension test - were performed and used to correlate the coefficients of the strain energy density function. Numerical simulations were carried out using finite element analysis and compared with experimental results. Simulation revealed that Ogden $3^{rd}$ model predicted the behavior of carbon added natural rubber under uniaxial load regardless of experimental data selection for coefficient correlation. However, Reduced Polynomial $2^{nd}$, Ogden $3^{rd}$, and Van der Waals with uniaxial tension test and biaxial tension test data selected for coefficient correlation showed close estimation of behavior of biaxial tension test. Reduced Polynomial $2^{nd}$ model predicted the behavior of biaxial tension test most closely.